4191116085 has 48 divisors (see below), whose sum is σ = 7833780864. Its totient is φ = 2060585856.

The previous prime is 4191116071. The next prime is 4191116089. The reversal of 4191116085 is 5806111914.

It is a happy number.

4191116085 is a `hidden beast` number, since 41 + 9 + 1 + 1 + 1 + 608 + 5 = 666.

It is not a de Polignac number, because 4191116085 - 2⁵ = 4191116053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191116089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479464 + ... + 488126.

It is an arithmetic number, because the mean of its divisors is an integer number (163203768).

Almost surely, 2^4191116085 is an apocalyptic number.

4191116085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4191116085 is a deficient number, since it is larger than the sum of its proper divisors (3642664779).

4191116085 is a wasteful number, since it uses less digits than its factorization.

4191116085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 4191116085 is about 64738.8298087014. The cubic root of 4191116085 is about 1612.2902586400.

Adding to 4191116085 its reverse (5806111914), we get a palindrome (9997227999).

The spelling of 4191116085 in words is "four billion, one hundred ninety-one million, one hundred sixteen thousand, eighty-five".